Assume that the climate conditions on Earth are such that years hotter than the historical average are just as likely as years colder than the historical average. 1, What would be the null hypothesis? In other words, what do we assume to be true in order to make a sampling distribution? 2, If in recent years it has shown that the proportion of years hotter has been 56% percent, what would be the alternative hypothesis? 3, Assume that the null hypothesis is true. Use a sampling distribution of size 50 to find the probability that 30 or more years out of the 50 years in the sample will have temperatures higher than the historical average due to sampling variation. Compute the test statistic and then find the probability for it.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.